This is the second of a two-volume course on Linear Algebra that, when combined with the previously released Matrix Algebra Tutor (that covers the introduction to Matrix Algebra students generally see in College Algebra and the first couple of lectures in a Linear Algebra course) will cover about 80-90 percent of what you will need to know for an Introduction to Linear Algebra (or equivalent) course. The set starts out going over the various types of transformation matrices (which get used in computer science/software engineering), the rank and cofactors of a matrix, and the multiple ways of finding the determinants of a matrix (determinants are used in many upper-level engineering courses), finding a cross product of two vectors using determinants, and then ends with several lessons on eigenvalues and eigenvectors. Those lessons provide the most straightforward explanation I have seen for what eigenvalues and eigenvectors are, and why they are helpful.
As is the case with Jason's previous courses, he goes through many examples, step-by-step, explaining things as he goes along. He also provides a recap of every problem after he is finished solving it. The drawback, as always, is that you are limited to the examples that he shows, and he does not address every single topic that one is likely to see in class. He does encourage people to work the problems on their own after he has solved them to make sure people are retaining knowledge of what they have watched. But, this is truly a supplement to, not a replacement for, class lectures. If you are just trying to learn the material on your own, then this will give you a good overview of the main topics on the subject. If you are planning to go on to take any higher-level engineering classes you will use at least some linear algebra techniques in multiple classes. So, if you learn best by seeing example problems worked out, this is a very good study aid.
As is the case with Jason's previous courses, he goes through many examples, step-by-step, explaining things as he goes along. He also provides a recap of every problem after he is finished solving it. The drawback, as always, is that you are limited to the examples that he shows, and he does not address every single topic that one is likely to see in class. He does encourage people to work the problems on their own after he has solved them to make sure people are retaining knowledge of what they have watched. But, this is truly a supplement to, not a replacement for, class lectures. If you are just trying to learn the material on your own, then this will give you a good overview of the main topics on the subject. If you are planning to go on to take any higher-level engineering classes you will use at least some linear algebra techniques in multiple classes. So, if you learn best by seeing example problems worked out, this is a very good study aid.
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